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30211412112 = 24327183116369
BaseRepresentation
bin11100001000101111…
…011001000010010000
32212222111002202021100
4130020233121002100
5443333110141422
621513503224400
72116444523460
oct341057310220
985874082240
1030211412112
11118a3611092
125a318a8100
132b0611691b
14166855bba0
15bbc4897ac
hex708bd9090

30211412112 has 120 divisors (see below), whose sum is σ = 96687244160. Its totient is φ = 8626590720.

The previous prime is 30211412107. The next prime is 30211412131. The reversal of 30211412112 is 21121411203.

30211412112 is a `hidden beast` number, since 30 + 211 + 412 + 1 + 12 = 666.

It is a super-2 number, since 2×302114121122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1837464 + ... + 1853832.

Almost surely, 230211412112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30211412112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48343622080).

30211412112 is an abundant number, since it is smaller than the sum of its proper divisors (66475832048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30211412112 is a wasteful number, since it uses less digits than its factorization.

30211412112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18221 (or 18212 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 30211412112 its reverse (21121411203), we get a palindrome (51332823315).

Subtracting from 30211412112 its reverse (21121411203), we obtain a palindrome (9090000909).

The spelling of 30211412112 in words is "thirty billion, two hundred eleven million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1831 3662 5493 7324 10986 12817 14648 16369 16479 21972 25634 29296 32738 32958 38451 43944 49107 51268 65476 65916 76902 87888 98214 102536 114583 115353 130952 131832 147321 153804 196428 205072 229166 230706 261904 263664 294642 307608 343749 392856 458332 461412 589284 615216 687498 785712 916664 922824 1031247 1178568 1374996 1833328 1845648 2062494 2357136 2749992 4124988 5499984 8249976 16499952 29971639 59943278 89914917 119886556 179829834 209801473 239773112 269744751 359659668 419602946 479546224 539489502 629404419 719319336 839205892 1078979004 1258808838 1438638672 1678411784 1888213257 2157958008 2517617676 3356823568 3776426514 4315916016 5035235352 7552853028 10070470704 15105706056 30211412112